n^2-6n=-n

Solution for n^2-6n=-n equation:

Simplifying
n2 + -6n = -1n

Reorder the terms:
-6n + n2 = -1n

Solving
-6n + n2 = -1n

Solving for variable 'n'.

Reorder the terms:
-6n + n + n2 = -1n + n

Combine like terms: -6n + n = -5n
-5n + n2 = -1n + n

Combine like terms: -1n + n = 0
-5n + n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-5 + n) = 0

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

Move all terms containing n to the left, all other terms to the right.

Simplifying
n = 0
Subproblem 2
Set the factor '(-5 + n)' equal to zero and attempt to solve:

Simplifying
-5 + n = 0

Solving
-5 + n = 0

Move all terms containing n to the left, all other terms to the right.

Add '5' to each side of the equation.
-5 + 5 + n = 0 + 5

Combine like terms: -5 + 5 = 0
0 + n = 0 + 5
n = 0 + 5

Combine like terms: 0 + 5 = 5
n = 5

Simplifying
n = 5
Solution
n = {0, 5}